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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Estimates on the mapping function and its derivatives in conformal mapping of nearly circular regions
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by E. J. Specht PDF
Trans. Amer. Math. Soc. 71 (1951), 183-196 Request permission
References
    Ludwig Bieberbach, Über die konforme Kreisabbildung nahezu kreisformiger Bereichen Sitzungsberichte der Preussichen Akademie der Wissenschaften, Mathematisch-Physikalishe Klasse (1924) pp. 181-188.
  • Jacqueline Ferrand, Sur la déformation analytique d’un domaine, C. R. Acad. Sci. Paris 221 (1945), 132–134 (French). MR 13798
  • F. Höhndorf, Verfahren zur Berechnung des Auftriebes gegebener Tragflächen-Profile, Zeitschrift für Angewandte Mathematik und Mechanik vol. 6 (1926) pp. 265-283. A. R. Marchenko, Sur la représentation conforme, C. R. (Doklady) Acad. Sci. URSS. vol. 1 (1935) pp. 289-290. F. Riesz and M. Riesz, Über die Randwerte einer analytischen Funktion, Comptes Rendus du Quatrième Congrès des Mathématiciens Scandinaves à Stockholm, 1916, pp. 27-44. F. Riesz, Über die Randwerte analytischer Funktionen, Math. Zeit. vol. 17 (1923) pp. 87-95.
  • W. Seidel, Über die Ränderzuordnung bei konformen Abbildungen, Math. Ann. 104 (1931), no. 1, 182–243 (German). MR 1512661, DOI 10.1007/BF01457932
  • T. Theodorsen, Theory of wing sections of arbitrary shape, National Advisory Committee for Aeronautics Technical Report no. 411, 1931. T. Theodorsen and I. E. Garrick, General potential theory of arbitrary wing sections, National Advisory Committee for Aeronautics Technical Report no. 452, 1934.
  • Stefan Warschawski, Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung, Math. Z. 35 (1932), no. 1, 321–456 (German). MR 1545302, DOI 10.1007/BF01186562
  • Stefan E. Warschawski, On the higher derivatives at the boundary in conformal mapping, Trans. Amer. Math. Soc. 38 (1935), no. 2, 310–340. MR 1501813, DOI 10.1090/S0002-9947-1935-1501813-X
  • —, On Theodorsen’s method of conformal mapping of nearly circular regions, Quarterly of Applied Mathematics vol. 3 (1945) pp. 12-28.
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Additional Information
  • © Copyright 1951 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 71 (1951), 183-196
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1951-0043903-6
  • MathSciNet review: 0043903